Thank you for visiting A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
We start by noting that the survey collected data on 500 customers. The drink and snack data are arranged in a twoâ€row table (each row summing to 250) and three snack columns with overall totals.
Step 1. Identify the Muffin Column
We are told that approximately 36% of the 500 customers buy a muffin. This means the total number of muffin purchases is
[tex]$$0.36 \times 500 = 180.$$[/tex]
When we look at the column totals in the table, one column adds up to 180. Hence, the column with total 180 must be the muffin column.
Step 2. Determine the Tea Row
It is given that approximately 24% of the total customers have a scone with their tea. Since 24% of 500 is
[tex]$$0.24 \times 500 = 120,$$[/tex]
this tells us that among tea drinkers (whose row total is 250), 120 customers buy a scone. Notice that in the table, one of the rows has an entry of 120 in its first cell. This value must represent the number of tea customers who get a scone. Therefore, that row corresponds to tea, and the remaining row corresponds to coffee.
Step 3. Assign Snack Labels to the Columns
We have already identified the muffin column (with total 180). Furthermore, since the tea row has a scone value equal to 120 and that number appears in the first column of the tea row, the first column must be for scones. The remaining column is then automatically assigned to cookies.
Step 4. Write the Completed Table with Labels
Now we assign the following labels:
- Row headings (drinks): The first row is Coffee and the second row is Tea.
- Column headings (snacks): The first column is Scone, the second column is Muffin, and the third column is Cookie.
Thus, the completed table is
[tex]$$
\begin{array}{|l|c|c|c|c|}
\hline
& \text{Scone} & \text{Muffin} & \text{Cookie} & \text{Total} \\
\hline
\text{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\text{Tea} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
$$[/tex]
Step 5. Verification
- The muffin column adds up to [tex]$100 + 80 = 180$[/tex], which is 36% of 500.
- In the tea row, the scone entry is 120. When compared to the overall total, [tex]$120/500 \times 100 = 24\%$[/tex], which is the given percentage for tea with scone.
Final Answer:
The row headings are Coffee and Tea, and the column headings are Scone, Muffin, and Cookie.
Step 1. Identify the Muffin Column
We are told that approximately 36% of the 500 customers buy a muffin. This means the total number of muffin purchases is
[tex]$$0.36 \times 500 = 180.$$[/tex]
When we look at the column totals in the table, one column adds up to 180. Hence, the column with total 180 must be the muffin column.
Step 2. Determine the Tea Row
It is given that approximately 24% of the total customers have a scone with their tea. Since 24% of 500 is
[tex]$$0.24 \times 500 = 120,$$[/tex]
this tells us that among tea drinkers (whose row total is 250), 120 customers buy a scone. Notice that in the table, one of the rows has an entry of 120 in its first cell. This value must represent the number of tea customers who get a scone. Therefore, that row corresponds to tea, and the remaining row corresponds to coffee.
Step 3. Assign Snack Labels to the Columns
We have already identified the muffin column (with total 180). Furthermore, since the tea row has a scone value equal to 120 and that number appears in the first column of the tea row, the first column must be for scones. The remaining column is then automatically assigned to cookies.
Step 4. Write the Completed Table with Labels
Now we assign the following labels:
- Row headings (drinks): The first row is Coffee and the second row is Tea.
- Column headings (snacks): The first column is Scone, the second column is Muffin, and the third column is Cookie.
Thus, the completed table is
[tex]$$
\begin{array}{|l|c|c|c|c|}
\hline
& \text{Scone} & \text{Muffin} & \text{Cookie} & \text{Total} \\
\hline
\text{Coffee} & 40 & 100 & 110 & 250 \\
\hline
\text{Tea} & 120 & 80 & 50 & 250 \\
\hline
\text{Total} & 160 & 180 & 160 & 500 \\
\hline
\end{array}
$$[/tex]
Step 5. Verification
- The muffin column adds up to [tex]$100 + 80 = 180$[/tex], which is 36% of 500.
- In the tea row, the scone entry is 120. When compared to the overall total, [tex]$120/500 \times 100 = 24\%$[/tex], which is the given percentage for tea with scone.
Final Answer:
The row headings are Coffee and Tea, and the column headings are Scone, Muffin, and Cookie.
Thank you for reading the article A local café serves tea coffee cookies scones and muffins They recently gathered data about their customers who purchase both a drink and a snack. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
